Minimization for Signal and Image Recovery

L Huo, W Chen, H Ge, MK Ng - SIAM Journal on Imaging Sciences, 2023 - SIAM
The nonconvex optimization method has attracted increasing attention due to its excellent
ability of promoting sparsity in signal processing, image restoration, and machine learning …

Image restoration based on transformed total variation and deep image prior

L Huo, W Chen, H Ge - Applied Mathematical Modelling, 2024 - Elsevier
Most supervised learning methods require observation data and ground truth pairs as data
sets to train the network. However, it is difficult and time-consuming to obtain a large number …

NeurTV: Total Variation on the Neural Domain

Y Luo, X Zhao, K Ye, D Meng - arXiv preprint arXiv:2405.17241, 2024 - arxiv.org
Recently, we have witnessed the success of total variation (TV) for many imaging
applications. However, traditional TV is defined on the original pixel domain, which limits its …

Fractional Fourier Transforms Meet Riesz Potentials and Image Processing

Z Fu, Y Lin, D Yang, S Yang - SIAM Journal on Imaging Sciences, 2024 - SIAM
Via chirp functions from fractional Fourier transforms, we introduce fractional Riesz
potentials related to chirp functions, which are further used to give a new image encryption …

Difference of anisotropic and isotropic TV for segmentation under blur and Poisson noise

K Bui, Y Lou, F Park, J Xin - Frontiers in Computer Science, 2023 - frontiersin.org
In this paper, we aim to segment an image degraded by blur and Poisson noise. We adopt a
smoothing-and-thresholding (SaT) segmentation framework that finds a piecewise-smooth …

A stochastic ADMM algorithm for large-scale ptychography with weighted difference of anisotropic and isotropic total variation

K Bui, ZW Di - Inverse Problems, 2024 - iopscience.iop.org
Ptychography, a prevalent imaging technique in fields such as biology and optics, poses
substantial challenges in its reconstruction process, characterized by nonconvexity and …

[PDF][PDF] A new difference of anisotropic and isotropic total variation regularization method for image restoration

B Zhang, X Wang, Y Li, Z Zhu - Mathematical Biosciences and …, 2023 - aimspress.com
Total variation (TV) regularizer has diffusely emerged in image processing. In this paper, we
propose a new nonconvex total variation regularization method based on the generalized …

Superiorized iteration algorithm for CT image simultaneous reconstruction and segmentation

S Luo, Z Liu, Y Lu, XC Tai - Inverse Problems and Imaging, 2024 - aimsciences.org
We propose a model for computed tomography (CT) image reconstruction and segmentation
simultaneously, which can be applied to singleenergy spectral (traditional) CT (SECT) and …

Enhanced total variation minimization for stable image reconstruction

C An, HN Wu, X Yuan - Inverse Problems, 2023 - iopscience.iop.org
The total variation (TV) regularization has phenomenally boosted various variational models
for image processing tasks. We propose to combine the backward diffusion process in the …

An Image Segmentation Model with Transformed Total Variation

E Dayag, K Bui, F Park, J Xin - arXiv preprint arXiv:2406.00571, 2024 - arxiv.org
Based on transformed $\ell_1 $ regularization, transformed total variation (TTV) has robust
image recovery that is competitive with other nonconvex total variation (TV) regularizers …